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Finding the Third Proportional to 106,121.50 and 160,548.50

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Solution

The third proportional to 106,121.50 and 160,548.50 is: 242,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,121.50 : 160,548.50 = 160,548.50 : x
  2. Step 2: Convert to fraction form
    106,121.50/160,548.50 = 160,548.50/x
  3. Step 3: Cross multiply
    106,121.50x = 160,548.50 × 160,548.50
  4. Step 4: Simplify right side
    106,121.50x = 25,775,820,852.25
  5. Step 5: Solve for x
    x = 25,775,820,852.25/106,121.50
  6. Step 6: Final answer
    x = 242,889.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.